Porovnat metody

	Testování invariance měření	Konfirmační faktorová analýza (CFA)	Analýza diferenciálního fungování položek (DIF)
Obor	Psychometrika	Statistika	Psychometrika
Rodina	Latent structure	Latent structure	Latent structure
Rok vzniku	2000	1969	1988
Tvůrce	Vandenberg & Lance	Karl Jöreskog	Paul W. Holland & Dorothy T. Thayer (Mantel-Haenszel approach, 1988)
Typ	Multi-group confirmatory factor analysis procedure	Confirmatory latent variable model	Item-level fairness / measurement equivalence analysis
Původní zdroj	Vandenberg, R. J., & Lance, C. E. (2000). A review and synthesis of the measurement invariance literature. Organizational Research Methods, 3(1), 4–70.	Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363	Holland, P. W. & Thayer, D. T. (1988). Differential Item Performance and the Mantel-Haenszel Procedure. ETS Research Report Series.
Další názvy	Factorial Invariance, Measurement Equivalence, Configural-Metric-Scalar Testing, Ölçüm Değişmezliği	Doğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement model	Madde Yanlılık Analizi (DIF — Differential Item Functioning), item bias analysis, Mantel-Haenszel DIF, Lord chi-square DIF
Příbuzné	3	4	4
Shrnutí	Measurement invariance testing is a sequence of nested confirmatory factor analysis (CFA) models that examines whether a psychological scale measures the same latent construct in the same way across distinct groups or time points. Systematized and popularized by Vandenberg and Lance (2000), the procedure tests a hierarchy of constraints — from identical factor patterns to identical item intercepts — so that researchers can justify meaningful group comparisons on latent means.	Confirmatory factor analysis tests whether a researcher-specified factor structure fits the observed data. Formalised by Karl Jöreskog in 1969, it is the measurement-model step within structural equation modelling and is the standard tool for validating the factorial structure of scales and questionnaires before comparing groups or estimating latent relationships.	Differential Item Functioning analysis examines whether examinees from different groups — such as gender, ethnicity, or language background — who have the same underlying ability respond differently to a test item. First formalised by Holland and Thayer in 1988 via the Mantel-Haenszel procedure, it is the principal tool in modern test development for detecting and removing item bias.